Details

Time bar (total: 10.0s)

sample137.0ms

Algorithm
intervals
Results
53.0ms939×body80nan
22.0ms304×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b
(+ (* x (log y)) z)
0.1b
(* (- b 0.5) (log c))
0.2b
(* x (log y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
20×add-log-exp
18×*-un-lft-identity
16×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
11×sum-log
10×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
7×associate-+l+
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
16.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
5.0ms
(+ (* x (log y)) z)
7.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series379.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms
(+ (* x (log y)) z)
59.0ms
(* (- b 0.5) (log c))
39.0ms
(* x (log y))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0619860
12417804
25001793

prune428.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log y))
0.3b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.5b
(cbrt c)
0.5b
(cbrt c)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
24×cbrt-prod add-sqr-sqrt associate-+l+
22×add-cube-cbrt *-un-lft-identity
12×associate-+r+
8×associate-*l/
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
5.0ms
(* x (log y))
14.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series554.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* x (log y))
166.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
172.0ms
(cbrt c)
180.0ms
(cbrt c)

simplify63.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0549851
12155729
25001698

prune624.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
0.5b
(cbrt (sqrt c))
0.5b
(cbrt (sqrt c))
0.5b
(cbrt c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
20×associate-*l/
18×associate-+r+ log-prod
16×frac-add
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×flip3-- flip--
12×sqrt-prod
10×distribute-rgt-in distribute-lft-in
8×frac-times
7×flip3-+ flip-+
6×add-log-exp
4×pow1 add-exp-log associate-*r/ add-cbrt-cube
3×pow1/3
2×associate-+l+
1×+-commutative sum-log distribute-lft-out
Counts
4 → 87
Calls
4 calls:
15.0ms
(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
2.0ms
(cbrt (sqrt c))
2.0ms
(cbrt (sqrt c))
1.0ms
(cbrt c)

series731.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
148.0ms
(cbrt (sqrt c))
147.0ms
(cbrt (sqrt c))
173.0ms
(cbrt c)

simplify115.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
09281757
145391630
250011599

prune765.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
0.5b
(* (cbrt c) (cbrt c))
0.6b
(cbrt (cbrt c))
0.6b
(cbrt (* (cbrt c) (cbrt c)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt c)
6.0ms
(* (cbrt c) (cbrt c))
2.0ms
(cbrt (cbrt c))
4.0ms
(cbrt (* (cbrt c) (cbrt c)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt c)
193.0ms
(* (cbrt c) (cbrt c))
239.0ms
(cbrt (cbrt c))
267.0ms
(cbrt (* (cbrt c) (cbrt c)))

simplify97.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0169347
1616317
23384286
35002283

prune523.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes583.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325
14325

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.5s27281×body80nan
596.0ms9254×body80valid
1.0ms1×body1280valid
0.0ms1×body160valid
0.0ms1×body320valid